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Simplifying (5w + -7)(5w + 6v + -3) = 0 Reorder the terms: (-7 + 5w)(5w + 6v + -3) = 0 Reorder the terms: (-7 + 5w)(-3 + 6v + 5w) = 0 Multiply (-7 + 5w) * (-3 + 6v + 5w) (-7(-3 + 6v + 5w) + 5w * (-3 + 6v + 5w)) = 0 ((-3 * -7 + 6v * -7 + 5w * -7) + 5w * (-3 + 6v + 5w)) = 0 ((21 + -42v + -35w) + 5w * (-3 + 6v + 5w)) = 0 (21 + -42v + -35w + (-3 * 5w + 6v * 5w + 5w * 5w)) = 0 Reorder the terms: (21 + -42v + -35w + (30vw + -15w + 25w2)) = 0 (21 + -42v + -35w + (30vw + -15w + 25w2)) = 0 Reorder the terms: (21 + -42v + 30vw + -35w + -15w + 25w2) = 0 Combine like terms: -35w + -15w = -50w (21 + -42v + 30vw + -50w + 25w2) = 0 Solving 21 + -42v + 30vw + -50w + 25w2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -42v + 30vw + -50w + -21 + 25w2 = 0 + -21 Reorder the terms: 21 + -21 + -42v + 30vw + -50w + 25w2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -42v + 30vw + -50w + 25w2 = 0 + -21 -42v + 30vw + -50w + 25w2 = 0 + -21 Combine like terms: 0 + -21 = -21 -42v + 30vw + -50w + 25w2 = -21 Add '50w' to each side of the equation. -42v + 30vw + -50w + 50w + 25w2 = -21 + 50w Combine like terms: -50w + 50w = 0 -42v + 30vw + 0 + 25w2 = -21 + 50w -42v + 30vw + 25w2 = -21 + 50w Add '-25w2' to each side of the equation. -42v + 30vw + 25w2 + -25w2 = -21 + 50w + -25w2 Combine like terms: 25w2 + -25w2 = 0 -42v + 30vw + 0 = -21 + 50w + -25w2 -42v + 30vw = -21 + 50w + -25w2 Reorder the terms: 21 + -42v + 30vw + -50w + 25w2 = -21 + 50w + -25w2 + 21 + -50w + 25w2 Reorder the terms: 21 + -42v + 30vw + -50w + 25w2 = -21 + 21 + 50w + -50w + -25w2 + 25w2 Combine like terms: -21 + 21 = 0 21 + -42v + 30vw + -50w + 25w2 = 0 + 50w + -50w + -25w2 + 25w2 21 + -42v + 30vw + -50w + 25w2 = 50w + -50w + -25w2 + 25w2 Combine like terms: 50w + -50w = 0 21 + -42v + 30vw + -50w + 25w2 = 0 + -25w2 + 25w2 21 + -42v + 30vw + -50w + 25w2 = -25w2 + 25w2 Combine like terms: -25w2 + 25w2 = 0 21 + -42v + 30vw + -50w + 25w2 = 0 The solution to this equation could not be determined.
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